Question
2. Ower sells vacuum cleaners and earns \( \$ \% \) commbsion on the first R25 500 of her sales and 11\% on all the sales more than R25 500 . If she sells R72 600 worth of vacuum cleaners in februang: what is the total amount of conmission that she will earn?
Ask by Delgado Washington. in South Africa
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Ower will earn a total commission of R6,456.
Solution
Let the commission rate on the first R25 500 of sales be \(5\%\) and on any amount above R25 500 be \(11\%\).
1. Calculate the commission on the first R25 500:
\[
\text{Commission}_1 = 0.05 \times 25\,500 = 1\,275
\]
2. Determine the amount of sales above R25 500:
\[
\text{Excess Sales} = 72\,600 - 25\,500 = 47\,100
\]
3. Calculate the commission on the excess sales:
\[
\text{Commission}_2 = 0.11 \times 47\,100 = 5\,181
\]
4. The total commission is the sum of the two parts:
\[
\text{Total Commission} = 1\,275 + 5\,181 = 6\,456
\]
Thus, Ower will earn a total commission of R6 456.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Extra Insights
To calculate the commission, we break it down into two parts. For the first R25,500 in sales, let's assume she earns a commission rate of \( x\% \). Her commission on this amount is \( R25,500 \times \frac{x}{100} \). For the sales exceeding R25,500, which is \( R72,600 - R25,500 = R47,100 \), she earns 11%. Therefore, her commission on this part is \( R47,100 \times 0.11 \). Now, we sum these two commissions to find the total. So, the total commission is: \[ \text{Total Commission} = R25,500 \times \frac{x}{100} + R47,100 \times 0.11 \] If you know the exact commission percentage \( x \), you can plug that in for a complete calculation!
